Geometric transformations and soliton equations

zbMath1213.37095arXiv1010.5593MaRDI QIDQ3062384

Chun-Lian Terng

Publication date: 3 January 2011

Full work available at URL: https://arxiv.org/abs/1010.5593

zbMATH Keywords

Gauss-Codazzi equationssoliton hierarchysoliton equationgeometric transformationmatrix NLS hierarchysoliton submanifolds

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Surfaces in Euclidean and related spaces (53A05) Local submanifolds (53B25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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